Answer:

Step-by-step explanation:
we know that
The area of the model is equal to the area of a rectangle
The area of a rectangle is equal to

we have


substitute

Apply distributive property

Combine like terms

Well if it is touching the x-axis, the radius is 3 units.
C = 2 * pi * r = (2)(3.14)(3) = 18.8 or so
Answer: Last Option

Step-by-step explanation:
In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).
To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.
The horizontal length between 4.71 and 7.4 is:
.
Then notice that the vertical length in this interval is 0.125.
Then the area of a rectangle is:

Where l is the length and w is the width.
In this case we have to:


So

